The Gunners boss considers Tierney as an integral part of his Gunners project who was sidelined with a number of injury problems last season.
The Scotland internal has mostly played in the centre-back position which was slightly out of his comfort zone.
He is deemed as one of the best full-backs in the Premier League and Arteta believes Tierney could captain Arsenal one day.
“I think he can be [captain], because he has the respect and the admiration of every member of the staff and every player,” Arteta said.
“It’s just the way he is, he does it in a natural way. He’s a really shy boy but I think he represents all of the values we want to install and that are in the DNA of this football club.
“He’s shy, he’s so humble as well. He came here and it took him a while, he had a really bad injury and he’s away from home, but he’s a natural leader.
“You see how he behaves on that pitch, and when he talks he says the right thing and it’s exactly what we’re looking for and I’m so pleased to have him in the team.
“In both phases [attacking and defensively] I think he can do really well. He can still improve but at the moment he’s a real threat in attack and he’s been really solid defensively. It’s the type of contribution we need from our full-backs.”
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